List questions from integral-operators

27

Views

What guarantees that the adjoint of a suitable integral operator, e.g. a Hilbert-Schmidt operator, is again an integral operator with a kernel?

Published on 25 Mar 2026 - 9:26

35

Views

Proving that $(Sf)(x)=1+\int_0^x t^2f(t)\,dt$ is $K$-Lipschitz

Published on 25 Mar 2026 - 9:27

841

Views

Norm of Integral Operator on $E=\{u \in C[0,1]\ ,\ u(0) = 0\}$

Published on 25 Mar 2026 - 11:05

922

Views

Redundancy in the Laplace transform and Mellin's inverse formula

Published on 25 Mar 2026 - 11:02

561

Views

Several questions about integral operators.

Published on 25 Mar 2026 - 9:31

474

Views

Sufficient conditions on integration kernel for continuity of the integral operator

Published on 25 Mar 2026 - 10:53

144

Views

Proof Check for Compactness of Integral Operator

Published on 25 Mar 2026 - 9:24

219

Views

Integro-differential eigenvalue problem

Published on 11 Apr 2026 - 20:14

646

Views

Operator on $L^2 (0,1)$ defined by convolution with $|x-y|^{-\alpha}$

Published on 25 Mar 2026 - 9:24

325

Views

non compact closed range operator

Published on 10 Apr 2026 - 15:15

1.1k

Views

Norm of the integral operator in $L^2(\mathbb{R})$.

Published on 25 Mar 2026 - 9:26

1.5k

Views

Proof of the integral operator in $L^2(\mathbb{R})$ being self-adjoint "by hand"

Published on 25 Mar 2026 - 11:02

109

Views

How to solve this special case of Fredholm Integral Equation of the First Kind

Published on 25 Mar 2026 - 9:29

63

Views

Showing that a certain operator maps to $\mathscr{C}([0,1])$

Published on 25 Mar 2026 - 9:24

637

Views

Contraction operator

Published on 03 May 2026 - 14:17

List Question

What guarantees that the adjoint of a suitable integral operator, e.g. a Hilbert-Schmidt operator, is again an integral operator with a kernel?

Proving that $(Sf)(x)=1+\int_0^x t^2f(t)\,dt$ is $K$-Lipschitz

Norm of Integral Operator on $E=\{u \in C[0,1]\ ,\ u(0) = 0\}$

Redundancy in the Laplace transform and Mellin's inverse formula

Several questions about integral operators.

Sufficient conditions on integration kernel for continuity of the integral operator

Proof Check for Compactness of Integral Operator

Integro-differential eigenvalue problem

Operator on $L^2 (0,1)$ defined by convolution with $|x-y|^{-\alpha}$

non compact closed range operator

Norm of the integral operator in $L^2(\mathbb{R})$.

Proof of the integral operator in $L^2(\mathbb{R})$ being self-adjoint "by hand"

How to solve this special case of Fredholm Integral Equation of the First Kind

Showing that a certain operator maps to $\mathscr{C}([0,1])$

Contraction operator

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